The court will hear a challenge to a Texas law in Whole Woman’s Health v. Cole that would leave the state with about 10 abortion clinics, down from more than 40. The court has not heard a major abortion case since 2007, and this case has the potential to revise the constitutional principles governing abortion rights.

In Fisher v. University of Texas, the court will decide whether the race-conscious program used to admit students to the University of Texas at Austin violates the Constitution’s equal protection principles. The ruling could be narrow, as the Texas plan is idiosyncratic, or broad, affecting the admissions policies of most colleges and universities.

This class action, Tyson Foods v. Bouaphakeo, was brought by workers at a pork processing plant who said they did not get enough overtime pay for the time they spent putting on and taking off protective gear and the like. The court will decide whether the workers may rely on statistical formulas to establish what they are owed or whether they must establish damages individually.

In Zubik v. Burwell, the court will consider how a contraception-coverage requirement under the Affordable Care Act applies to religiously affiliated institutions like schools and hospitals. Many of them object to an accommodation offered by the Obama administration that allows them to avoid the requirement by filling out a form, saying that makes them complicit in sinful conduct.

In United States v. Texas, the court will consider whether the Obama administration was entitled to shield more than four million undocumented immigrants from deportation and to allow them to work.

In Foster v. Chatman, the court will decide whether prosecutors in Georgia violated the Constitution by systematically excluding blacks from the jury in a capital case, leaving an all-white panel to decide the fate of a black defendant accused of killing a white woman.

In Friedrichs v. California Teachers Association, the court will consider whether public employees who choose not to join unions may be required to pay fees for the union’s collective bargaining activities. The decision could deal a major blow to organized labor.

The court will decide the meaning of “one person, one vote” in Evenwel v. Abbott. The court has long said that state voting districts must have roughly equal populations, but it has never specified whether they should have the same number of people or the same number of eligible voters. Should the court require or allow counting only voters, the political power of districts including disproportionate numbers of unauthorized immigrants could be diminished, generally benefitting Republicans.

In Hurst v. Florida, the court struck down an aspect of Florida’s capital punishment system, in which the state allowed nonunanimous juries to recommend death sentences and left the final sentencing to a judge, saying it did not give jurors a sufficient role in deciding whether defendants should be put to death.

The court ruled in Montgomery v. Louisiana that its 2012 decision banning mandatory life-without-parole sentences for juvenile killers must be applied retroactively, allowing the possibility of eventual release for hundreds of inmates now serving life sentences without the possibility of parole for murders they committed in their youth.